Acceleration of Feynman loop integrals in high-energy physics on many core GPUs

24th IUPAP Conference on Computational Physics

物理学;计算机科学

Yuasa, F.^1 ; Ishikawa, T.^1 ; Hamaguchi, N.^1 ; Koike, T.^2 ; Nakasato, N.^3

High Energy Accelerator Research Organization (KEK), 1-1 Oho, Ibaraki 305-0801, Tsukuba, Japan^1

Seikei University, Tokyo 180-8633, Musashino, Japan^2

University of Aizu, Aizu-Wakamatsu, Fukushima 965-8580, Japan^3

关键词: Computation time;    Direct computation method;    Feynman loop integrals;    Large scale computation;    Multidimensional numerical integration;    Perturbative approach;    Theoretical calculations;    Two-loop integrals;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/454/1/012081/pdf
DOI  :  10.1088/1742-6596/454/1/012081

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The current and future colliders in high-energy physics require theorists to carry out a large scale computation for a precise comparison between experimental results and theoretical ones. In a perturbative approach several methods to evaluate Feynman loop integrals which appear in the theoretical calculation of cross-sections are well established in the one-loop level, however, more studies are necessary for higher-order levels. Direct Computation Method (DCM) is developed to evaluate multi-loop integrals. DCM is based on a combination of multidimensional numerical integration and extrapolation on a sequence of integrals. It is a fully numerical method and is applicable to a wide class of integrals with various physics parameters. The computation time depends on physics parameters and the topology of loop diagrams and it becomes longer for the two-loop integrals. In this paper we present our approach to the acceleration of the two-loop integrals by DCM on multiple GPU boards.